Question

a pet store owner had her staff count the number of fish in each tank.
fish per tank: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9
use the data to complete the histogram below.
click to set the height of the missing bar.
(histogram with number of tanks on y - axis (0 - 5) and number of fish on x - axis (0 - 4, 5 - 9, 10 - 14, 15 - 19, 20 - 24))

Explanation:

Step1: Identify data in each interval

First, we categorize the number of fish per tank into the given intervals (0 - 4, 5 - 9, 10 - 14, 15 - 19, 20 - 24).
- 0 - 4: Check which data points fall here. The data points are 1, 1, 8? Wait, no, the data is: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. Wait, let's list all data: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. Now categorize:
- 0 - 4: 1 (only 1? Wait, the data point 1. Wait, maybe I misread. Wait the left data is "Fish per tank" with values: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. Wait, let's count again. Wait the user's data: the first column (Fish per tank) has values: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. Wait, maybe I missed some. Wait the original data: "18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9" – that's 13 data points? Wait no, the left side has "Fish per tank" with numbers: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. Wait, maybe I made a mistake. Let's do it properly:

Intervals:
- 0 - 4: Numbers between 0 (inclusive) and 4 (inclusive). The data points: 1 (only 1? Wait, 1 is in 0 - 4. Wait, is there another? Wait the data has 1, and maybe I missed. Wait the data: 1, 1? Wait no, the list is 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. So 0 - 4: 1 (only one 1? Wait, maybe the data is 1, 1? Wait the left side has "1" as a data point? Wait the user's image shows "Fish per tank" with numbers: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. Wait, maybe the data is: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. So:

- 0 - 4: 1 (count = 1? Wait, no, maybe I misread. Wait the histogram has 0 - 4, 5 - 9, 10 - 14, 15 - 19, 20 - 24.

Let's re - categorize:

- 0 - 4: Values ≤ 4. The data points: 1 (only 1? Wait, maybe the data has two 1s? Wait the left side has "1" as a data point, and maybe another? Wait the user's data: "1, 1" – maybe I missed. Wait the original data in the image: the left column (Fish per tank) has numbers: 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. Wait, that's 13 numbers. Let's list each:

1. 18 → 15 - 19 (since 15 ≤ 18 < 20)
2. 7 → 5 - 9 (5 ≤ 7 < 10)
3. 18 → 15 - 19
4. 8 → 5 - 9
5. 16 → 15 - 19
6. 16 → 15 - 19
7. 22 → 20 - 24 (20 ≤ 22 < 25)
8. 15 → 15 - 19
9. 20 → 20 - 24
10. 1 → 0 - 4
11. 14 → 10 - 14 (10 ≤ 14 < 15)
12. 11 → 10 - 14
13. 9 → 5 - 9

Now count the number of tanks in each interval:

- 0 - 4: 1 (only the data point 1)
- 5 - 9: 7, 8, 9 → that's 3 data points (7, 8, 9)
- 10 - 14: 14, 11 → wait, 14 and 11, and 1? No, 10 - 14: 14, 11, and 14? Wait 14 is 10 - 14, 11 is 10 - 14, and what about 1? No, 1 is 0 - 4. Wait, 14, 11, and is there another? Wait the data point 14, 11, and 1? No, 1 is 0 - 4. Wait, 10 - 14: 14, 11, and 1? No, 1 is 0 - 4. Wait, 14, 11, and maybe 1? No. Wait, 14, 11, and what about 1? No. Wait, 10 - 14: 14, 11, and is there a 10? No. Wait, 14, 11, and 1? No. Wait, 14, 11, and 1? No. Wait, 10 - 14: 14, 11, and 1? No. Wait, maybe I made a mistake. Wait 10 - 14: numbers from 10 to 14 (inclusive). So 11, 14. Are there others? Wait the data point 1: no. 14, 11, and what about 1? No. Wait, 10 - 14: 2 data points? But the histogram has a bar for 10 - 14. Wait, maybe I missed a data point. Wait the original data: "14, 11, 9" – no, the data is 18, 7, 18, 8, 16, 16, 22, 15, 20, 1, 14, 11, 9. So 10 - 14: 14, 11 (two data points). 15 - 19: 18, 18, 16, 16, 15 (five data points: 18, 18, 16, 16, 15). 20 - 24: 22, 20 (two data points: 22, 20). 0 - 4: 1 (one data point). 5 - 9: 7, 8, 9 (three data points: 7, 8, 9).

Wait, but the histogram has bars: 0 - 4 has a bar (height 1), 5 - 9 has a bar (height 3), 10 - 14: let's check the existing bar. Wait the histogram in the image: 0 - 4 (height 1), 5 - 9 (height 3), 10 - 14 (existing bar? Wait the problem says "Click to set the height of the missing bar". Wait, which interval is missing? The intervals are 0 - 4, 5 - 9, 10 - 14, 15 - 19, 20 - 24. The histogram has bars for 0 - 4 (height 1), 5 - 9 (height 3), 10 - 14 (some height), 20 - 24 (some height). Wait, the missing bar is 15 - 19? Wait, let's count the number of tanks in 15 - 19: data points 18, 18, 16, 16, 15. That's 5 data points. So the height of the bar for 15 - 19 should be 5? Wait, no, let's re - check.

Wait, the y - axis is "Number of tanks" (wait no, the x - axis is "Number of tanks", y - axis is "Number of fish"? Wait no, the histogram: x - axis is "Number of tanks", y - axis is "Number of fish"? Wait no, the labels: "Fish per tank" on the left, "Number of fish" on the bottom? Wait, no, the histogram: x - axis is "Number of tanks", y - axis is "Number of fish"? Wait, no, the correct labels: x - axis (horizontal) is "Number of fish" with intervals 0 - 4, 5 - 9, 10 - 14, 15 - 19, 20 - 24. Y - axis (vertical) is "Number of tanks" (number of tanks with that many fish). So for each interval (number of fish), we count how many tanks (data points) are in that interval.

So:

- 0 - 4 fish: data points with 0 - 4 fish: only 1 (the data point 1). So number of tanks = 1.
- 5 - 9 fish: data points 7, 8, 9 → 3 tanks.
- 10 - 14 fish: data points 11, 14 → 2 tanks? Wait, 11 and 14. Wait, 11 is 10 - 14, 14 is 10 - 14. Any others? 1? No. 10? No. So 2 tanks.
- 15 - 19 fish: data points 15, 16, 16, 18, 18 → 5 tanks (15, 16, 16, 18, 18).
- 20 - 24 fish: data points 20, 22 → 2 tanks (20, 22).

Now, looking at the histogram: the bars are:

- 0 - 4: height 1 (matches)
- 5 - 9: height 3 (matches the green bar)
- 10 - 14: height 2 (existing bar)
- 20 - 24: height 2 (existing bar)
- Missing bar: 15 - 19, which should have height 5.

Wait, but the problem says "Click to set the height of the missing bar". So the missing bar is 15 - 19, and its height (number of tanks) is 5.

Step2: Set the height of the missing bar

The missing interval is 15 - 19. We calculated that there are 5 tanks with 15 - 19 fish. So we set the height of the bar for 15 - 19 to 5.

Answer:

The height of the missing bar (for 15 - 19 fish) should be set to 5.